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Finding the Fourth Proportional to 14,854.19, 20,498.72 and 8,139.81

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Solution

The fourth proportional to 14,854.19, 20,498.72 and 8,139.81 is: 11,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.19 : 20,498.72 = 8,139.81 : x
  2. Step 2: Convert to fraction form
    14,854.19/20,498.72 = 8,139.81/x
  3. Step 3: Cross multiply
    14,854.19x = 20,498.72 × 8,139.81
  4. Step 4: Simplify right side
    14,854.19x = 166,855,645.34
  5. Step 5: Solve for x
    x = 166,855,645.34/14,854.19
  6. Step 6: Final answer
    x = 11,232.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.